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Simplifying 9n + 6 + -2n = 3n + -2 + 6n Reorder the terms: 6 + 9n + -2n = 3n + -2 + 6n Combine like terms: 9n + -2n = 7n 6 + 7n = 3n + -2 + 6n Reorder the terms: 6 + 7n = -2 + 3n + 6n Combine like terms: 3n + 6n = 9n 6 + 7n = -2 + 9n Solving 6 + 7n = -2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 6 + 7n + -9n = -2 + 9n + -9n Combine like terms: 7n + -9n = -2n 6 + -2n = -2 + 9n + -9n Combine like terms: 9n + -9n = 0 6 + -2n = -2 + 0 6 + -2n = -2 Add '-6' to each side of the equation. 6 + -6 + -2n = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = -2 + -6 -2n = -2 + -6 Combine like terms: -2 + -6 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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